
\(D_2/2\pi = 3.65\)  MHz, obtained from FEM simulation, neglecting higher-order terms. A single perturbation of \(-30\)  MHz was introduced at mode \(\mu =-2\)  to induce the formation of the soliton crystal state [1]}.

For the pump mode (\(\mu = 0\) ), the intrinsic and coupling Q factors of 2.37 and 6.55 million, respectively, were used, extracted from the measured cold-cavity transmission spectrum.

For the other modes, intrinsic and coupling Q of 2.77 and 7.47 million, respectively, were used, corresponding to the mean of the measured Q factors for the modes within the laser scanning range (\(\mu =-3\)  to \(+14\) ).

Pump power of 6.6 mW in the waveguide, corresponding to the experimentally-measured value.

